Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

StartFraction one-fourth EndFraction left-parenthesis x plus 30 plus 60 right-parenthesis equals x.(x + 30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)
StartFraction one-fourth EndFraction x left-parenthesis 30 plus 60 right-parenthesis equals x.x(30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals left-parenthesis 30 plus 60 right-parenthesis.(x) = (30 + 60)

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Answer:

StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)

Step-by-step explanation:

The equation that can be used is:

(1/4)*(30 min + 60 min + x) = x

So the correct option is the first one.

How to get the correct equation?

We know that Hiroshi spends:

  • 30 minutes on history.
  • 60 minutes on English.
  • x minutes on math.

The total time is:

30 min + 60 min + x

And we know that one-fourth of the total time that he studies is spent on math, then we can write:

(1/4)*(30 min + 60 min + x) = x

This is the equation we need to solve.

Solving it gives:

30 min + 60 min + x = 4x

90 min = 3x

(90 min)/3 = x = 30 min.

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